TF EIMLab5 Writeup

LC Resonance circuits

The LC cicuit

1.) Design a parallel LC resonant circuit with a resonant frequency between 50-200 kHz. use [math]\displaystyle{ L }[/math] = 10 - 100 [math]\displaystyle{ \mu H }[/math], R = 1k [math]\displaystyle{ \Omega }[/math] .

Element	Value
L	33 \mu H
C	1.024 \mu F
R	1 k \Omega
R_L	2 k \Omega

2.Construct the LC circuit using a non-polar capacitor

3. Measure the Gain [math]\displaystyle{ \equiv \frac{V_{out}}{V_{in}} }[/math] as a function of frequency. (25 pnts)

4. Compare the measured and theoretical values of the resonance frequency ([math]\displaystyle{ \omega_{L} }[/math]) (10 pnts)

Questions

1. What is the bandwidth of the above circuit? (5 pnts)

The RLC cicuit

1. Design and construct a series LRC circuit.
2. Measure and Graph the Gain as a function of the oscillating input voltage frequency. (25 pnts)
3. Measure and Graph the Phase Shift as a function of the oscillating input voltage frequency. (25 pnts)

Questions

1. What is the current [math]\displaystyle{ I }[/math] at resonance? (5 pnts)
2. What is the current as [math]\displaystyle{ \nu \rightarrow \infty }[/math]? (5 pnts)

Forest_Electronic_Instrumentation_and_Measurement